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arXiv · 1607.01672

On sensitivity of uniform mixing times

Jonathan Hermon
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Abstract

We show that the order of the $L_{\infty}$-mixing time of simple random walks on a sequence of uniformly bounded degree graphs of size $n$ may increase by an optimal factor of $\Theta( \log \log n)$ as a result of a bounded perturbation of the edge weights. This answers a question and a conjecture of Kozma.

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Jonathan Hermon. 2016-07-06. On sensitivity of uniform mixing times. https://doi.org/10.1214/16-aihp802

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